The Relational Model Why Study the Relational Model? Most widely used model. Vendors: IBM, Informix, Microsoft, Oracle, Sybase, etc. Legacy systems in older models E.G., IBM s IMS Recent competitor: object-oriented model ObjectStore, Versant, Ontos, O2 A synthesis emerging: object-relational model Informix Universal Server, UniSQL, Oracle, DB2 1 2 Relational Database: Definitions Example Instance of Students Relation Relational database: a set of relations Relation: made up of 2 parts: Instance : a table, with rows and columns. #Rows = cardinality, #fields = degree / arity. Schema : specifies name of relation, plus name and type of each column. E.G. Students(sid: string, name: string, login: string, age: integer, gpa: real) Can think of a relation as a set of rows or tuples (i.e., all rows are distinct). 53688 Smith smith@eecs 18 3.2 53650 Smith smith@math 19 3.8 Cardinality = 3, degree = 5, all rows distinct Do all columns in a relation instance have to be distinct? 3 4 Creating Relations in SQL Creates the Students relation. Observe that the type (domain) of each field is specified, and enforced by the DBMS whenever tuples are added or modified. As another example, the Enrolled table holds information about courses that students take. CREATE TABLE Students (sid: CHAR(20), name: CHAR(20), login: CHAR(10), age: INTEGER, gpa: REAL) (sid: CHAR(20), cid: CHAR(20), grade: CHAR(2)) Integrity Constraints (ICs) IC: condition that must be true for any instance of the database; e.g., domain constraints. ICs are specified when schema is defined. ICs are checked when relations are modified. A legal instance of a relation is one that satisfies all specified ICs. DBMS should not allow illegal instances. If the DBMS checks ICs, stored data is more faithful to real-world meaning. Avoids many data entry errors, too! 5 6
Primary Key Constraints A set of fields is a superkey for a relation if: No two distinct tuples have the same values in all fields of the superkey A superkey is a (candidate) key if : No proper subset of it is a superkey If there s >1 candidate key for a relation, one of the keys is chosen (by DBA) to be the primary key. E.g., sid is a key for Students. (What about name?) The set {sid, gpa} is a superkey. 7 Primary and Candidate Keys in SQL Possibly many candidate keys (specified using UNIQUE), one of which is chosen as the primary key. For a given student and course, there is a single grade. vs. Students can take only one course, and receive a single grade for that course; further, no two students in a course receive the same grade. Used carelessly, an IC can prevent the storage of database instances that arise in practice! (sid CHAR(20) PRIMARY KEY (sid,cid) ) (sid CHAR(20) PRIMARY KEY (sid), UNIQUE (cid, grade) ) 8 Foreign Keys, Referential Integrity Foreign key : Set of fields in one relation that is used to `refer to a tuple in another (or the same) relation. (Must correspond to primary key of the second relation.) Like a `logical pointer. E.g. sid is a foreign key referring to Students: Enrolled(sid: string, cid: string, grade: string) If all foreign key constraints are enforced, referential integrity is achieved, i.e., no dangling references. Can you name a data model w/o referential integrity? Links in HTML! Foreign Keys in SQL Only students listed in the Students relation should be allowed to enroll for courses. (sid CHAR(20), PRIMARY KEY (sid,cid), FOREIGN KEY (sid) REFERENCES Students ) Enrolled sid cid grade 53666 Carnatic101 C 53666 Reggae203 B 53650 Topology112 A 53666 History105 B Students 53688 Smith smith@eecs 18 3.2 53650 Smith smith@math 19 3.8 9 10 Enforcing Referential Integrity Consider Students and Enrolled; sid in Enrolled is a foreign key that references Students. What should be done if an Enrolled tuple with a nonexistent student id is inserted? (Reject it!) What should be done if a Students tuple is deleted? Also delete all Enrolled tuples that refer to it. Disallow deletion of a Students tuple that is referred to. Set sid in Enrolled tuples that refer to it to a default sid. (In SQL, also: Set sid in Enrolled tuples that refer to it to a special placeholder null, meaning `unknown or `inapplicable ) Similar if primary key of Students tuple is updated. Referential Integrity in SQL/92 SQL/92 supports all 4 options on deletes and updates. Default is NO ACTION (delete/update is rejected) CASCADE (also delete all tuples that refer to deleted tuple) SET NULL / SET DEFAULT (sets foreign key value of referencing tuple) (sid CHAR(20), PRIMARY KEY (sid,cid), FOREIGN KEY (sid) REFERENCES Students ON DELETE CASCADE ON UPDATE SET DEFAULT ) 11 12
Where do ICs Come From? ICs are based upon the semantics of the realworld enterprise that is being described in the database relations. We can check a database instance to see if an IC is violated, but we can NEVER infer that an IC is true by looking at an instance. An IC is a statement about all possible instances! From example, we know name is not a key, but the assertion that sid is a key is given to us. Key and foreign key ICs are the most common; more general ICs supported too. 13 Logical DB Design: ER to Relational Entity sets to tables. ssn name Employees lot CREATE TABLE Employees (ssn CHAR(11), name CHAR(20), lot INTEGER, PRIMARY KEY (ssn)) 14 Relationship Sets to Tables In translating a relationship set to a relation, attributes of the relation must include: Keys for each participating entity set (as foreign keys). This set of attributes forms a superkey for the relation. All descriptive attributes. CREATE TABLE Works_In( ssn CHAR(1), PRIMARY KEY (ssn, did), FOREIGN KEY (ssn) REFERENCES Employees, FOREIGN KEY (did) REFERENCES Departments) Translating ER Diagrams with Key Constraints Map relationship to a table: Note that did is the key now! Separate tables for Employees and Departments. Since each department has a unique manager, we could instead combine Manages and Departments. CREATE TABLE Manages( ssn CHAR(11), FOREIGN KEY (did) REFERENCES Departments) CREATE TABLE Dept_Mgr( dname CHAR(20), budget REAL, ssn CHAR(11), FOREIGN KEY (ssn) REFERENCES Employees) 15 16 Participation Constraints in SQL We can capture participation constraints involving one entity set in a binary relationship, but little else (without resorting to CHECK constraints). CREATE TABLE Dept_Mgr( dname CHAR(20), budget REAL, ssn CHAR(11) NOT NULL, ON DELETE NO ACTION) 17 Translating Weak Entity Sets Weak entity set and identifying relationship set are translated into a single table. When the owner entity is deleted, all owned weak entities must also be deleted. CREATE TABLE Dep_Policy ( pname CHAR(20), age INTEGER, cost REAL, ssn CHAR(11) NOT NULL, PRIMARY KEY (pname, ssn), ON DELETE CASCADE) 18
Relational Query Languages The SQL Query Language A major strength of the relational model: supports simple, powerful querying of data. Queries can be written intuitively, and the DBMS is responsible for efficient evaluation. The key: precise semantics for relational queries. Allows the optimizer to extensively re-order operations, and still ensure that the answer does not change. Developed by IBM (system R) in the 1970s Need for a standard since it is used by many vendors Standards: SQL-86 SQL-89 (minor revision) SQL-92 (major revision, current standard) SQL-99 (major extensions) 19 20 The SQL Query Language To find all 18 year old students, we can write: SELECT * FROM Students WHERE age=18 To find just names and logins, replace the first line: SELECT name, login 53688 Smith smith@ee 18 3.2 Querying Multiple Relations What does the following query compute? SELECT S.name, E.cid FROM Students S, Enrolled E WHERE S.sid=E.sid AND E.grade= A Given the following instance of Enrolled (is this possible if the DBMS ensures referential integrity?): sid cid grade 53831 Carnatic101 C 53831 Reggae203 B 53650 Topology112 A 53666 History105 B we get: S.name Smith E.cid Topology112 21 22 Adding and Deleting Tuples Destroying and Altering Relations Can insert a single tuple using: INSERT INTO Students (sid, name, login, age, gpa) VALUES (53688, Smith, smith@ee, 18, 3.2) Can delete all tuples satisfying some condition (e.g., name = Smith): DELETE FROM Students WHERE name = Smith Powerful variants of these commands are available; more later! 23 DROP TABLE Students Destroys the relation Students. The schema information and the tuples are deleted. ALTER TABLE Students ADD COLUMN firstyear: integer The schema of Students is altered by adding a new field; every tuple in the current instance is extended with a null in the new field. 24
Relational Model: Summary A tabular representation of data. Simple and intuitive, currently the most widely used. Integrity constraints can be specified by the DBA, based on application semantics. DBMS checks for violations. Two important ICs: primary and foreign keys In addition, we always have domain constraints. Guidelines to translate ER to relational model Powerful and natural query languages exist. 25